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Finding the Third Proportional to 77,862,854.25 and 168,036,635.25

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Solution

The third proportional to 77,862,854.25 and 168,036,635.25 is: 362,641,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,862,854.25 : 168,036,635.25 = 168,036,635.25 : x
  2. Step 2: Convert to fraction form
    77,862,854.25/168,036,635.25 = 168,036,635.25/x
  3. Step 3: Cross multiply
    77,862,854.25x = 168,036,635.25 × 168,036,635.25
  4. Step 4: Simplify right side
    77,862,854.25x = 28,236,310,786,141,544
  5. Step 5: Solve for x
    x = 28,236,310,786,141,544/77,862,854.25
  6. Step 6: Final answer
    x = 362,641,609.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.